106226564 has 24 divisors (see below), whose sum is σ = 187813080. Its totient is φ = 52569344.

The previous prime is 106226563. The next prime is 106226569. The reversal of 106226564 is 465622601.

It can be written as a sum of positive squares in 4 ways, for example, as 13912900 + 92313664 = 3730^2 + 9608^2 .

It is a super-2 number, since 2×106226564² = 22568165798492192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106226564.

It is not an unprimeable number, because it can be changed into a prime (106226563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272882 + ... + 273270.

It is an arithmetic number, because the mean of its divisors is an integer number (7825545).

Almost surely, 2^106226564 is an apocalyptic number.

It is an amenable number.

106226564 is a deficient number, since it is larger than the sum of its proper divisors (81586516).

106226564 is a wasteful number, since it uses less digits than its factorization.

106226564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 106226564 is about 10306.6271883677. The cubic root of 106226564 is about 473.5992922230.

The spelling of 106226564 in words is "one hundred six million, two hundred twenty-six thousand, five hundred sixty-four".